DETROIT — Most of the 11,000 rape-evidence kits left languishing in a Detroit warehouse have been analyzed since they turned up several years ago, with DNA matches leading to further investigation in 35 states, Gov. Snyder said on Wednesday.

The rape kits, which were found abandoned on a storage shelf in 2009, contain DNA samples from hair and swabs of bodily fluids recovered from victims. Since their discovery, Wayne County Prosecutor Kym Worthy has lobbied to get the stockpiled kits processed.

Snyder secured supplemental funding in 2013 to pay for laboratory analysis of the evidence from 8,000 kits, after the first 2,000 were initially processed by state police.

“Survivors of sexual assault crimes deserve swift justice, and we will continue working to make sure a stockpile of this nature never again occurs in Michigan,” Snyder said in a written statement.

In all, a backlog of 10,087 sexual assault evidence kits from the Detroit Police Department have been tested, with about 1,200 of the packages found in storage still to be processed, Wayne County prosecutors said.

The renewed testing has led to 23 convictions as of Aug. 27 and 106 additional cases are under active investigation, prosecutors said.

Snyder signed legislation last year that would set new standards for prompt analysis of rape evidence kits statewide.